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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
 -- .00710196s elapsed
 -- .0156502s elapsed
 -- .000300893s elapsed
 -- .000170529s elapsed
 -- .000154619s elapsed
 -- .000161021s elapsed
 -- .000130385s elapsed
 -- .000137598s elapsed
 -- .00014972s elapsed
 -- .00014384s elapsed
 -- .000144892s elapsed
 -- .000137428s elapsed
 -- .000217609s elapsed
 -- .000124032s elapsed
 -- .000120847s elapsed
 -- .000117801s elapsed
 -- .000117239s elapsed
 -- .000117611s elapsed
 -- .000129803s elapsed
 -- .000128289s elapsed
 -- .000141025s elapsed
 -- .000131447s elapsed
 -- .000127929s elapsed
 -- .000129773s elapsed
 -- .000127008s elapsed
 -- .000125646s elapsed
 -- .00012253s elapsed
 -- .000495529s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.


The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.